This paper is a contribution to the Zimmer Program of studying actions of higher rank semisimple Lie groups \(G\)  and their lattices \(\Gamma \)  on compact manifolds. More precisely one assumes that \(G\)  has real rank at least 2, and that \(\Gamma \)  is an irreducible lattice in \(G\) . This program was inspired by Margulis' superrigidity theorem which classifies finite dimensional representations of such \(\Gamma \)  [1]}. A classification of such is impossible in general as one can construct such actions starting with any flow via the induction procedure. However, classification or at least a detailed structural understanding might be possible under suitable geometric or dynamical assumptions on the action or underlying manifold. Zimmer formulated this program in his ICM address in 1986, and in other papers from the early 1980s, e.g. [2]}, [3]}, [4]}.
 Margulis further cemented this in his list of problems for the new century [5]}.
